medium · FRM Part 1 Quantitative Analysis

An AR(1) process is given by x_t = 0.4 + 0.8x_t-1 + ε_t.

What is the long-run mean of the process, and what does the coefficient 0.8 tell us about its mean reversion?

  1. 2.0; The process is non-stationary and does not revert.
  2. 0.4; The process reverts to the mean very quickly.
  3. 2.0; The process reverts to the mean relatively slowly.
  4. 0.5; The process reverts to the mean at a moderate speed.

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